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Finding the Fourth Proportional to 3,320.80, 4,975.20 and 1,585.60

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Solution

The fourth proportional to 3,320.80, 4,975.20 and 1,585.60 is: 2,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.80 : 4,975.20 = 1,585.60 : x
  2. Step 2: Convert to fraction form
    3,320.80/4,975.20 = 1,585.60/x
  3. Step 3: Cross multiply
    3,320.80x = 4,975.20 × 1,585.60
  4. Step 4: Simplify right side
    3,320.80x = 7,888,677.12
  5. Step 5: Solve for x
    x = 7,888,677.12/3,320.80
  6. Step 6: Final answer
    x = 2,375.54

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